Relating the neutrino mixing angles to a lepton mass hierarchy

Details Relating the neutrino mixing angles to a lepton mass hierarchy Relating the neutrino mixing angles to a lepton mass hierarchy

2009-11-10

arxiv.org/abs/0911.1857v1

Phys.Lett.B682:220-224,2009

Physics

High Energy Physics

High Energy Physics - Phenomenology

RevTeX 11 pages. Accepted for publication

Scientific paper

10.1016/j.physletb.2009.11.018

We propose two phenomenological scenarios of lepton mass matrices and show that either of them can exactly give rise to \tan^2\theta_{13} = m_e/(m_e + 2m_\mu), \tan^2\theta_{23} = m_\mu/(m_e + m_\mu) and \tan^2\theta_{12} = (m_e m_2 + 2m_\mu m_1)/(m_e m_1 + 2m_\mu m_2) in the standard parametrization of lepton flavor mixing. The third relation, together with current experimental data, predicts a normal but weak hierarchy for the neutrino mass spectrum. We also obtain \theta_{13} \approx 2.8^\circ for the smallest neutrino mixing angle and J \approx 1.1% for the Jarlskog invariant of leptonic CP violation, which will soon be tested in the long-baseline reactor and accelerator neutrino oscillation experiments. A seesaw realization of both scenarios is briefly discussed.

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